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Finding the Fourth Proportional to 5,300.83, 7,950.16 and 2,012.77

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Solution

The fourth proportional to 5,300.83, 7,950.16 and 2,012.77 is: 3,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.83 : 7,950.16 = 2,012.77 : x
  2. Step 2: Convert to fraction form
    5,300.83/7,950.16 = 2,012.77/x
  3. Step 3: Cross multiply
    5,300.83x = 7,950.16 × 2,012.77
  4. Step 4: Simplify right side
    5,300.83x = 16,001,843.54
  5. Step 5: Solve for x
    x = 16,001,843.54/5,300.83
  6. Step 6: Final answer
    x = 3,018.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.